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Finding the Third Proportional to 853,202 and 1,836,472

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Solution

The third proportional to 853,202 and 1,836,472 is: 3,952,908.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,202 : 1,836,472 = 1,836,472 : x
  2. Step 2: Convert to fraction form
    853,202/1,836,472 = 1,836,472/x
  3. Step 3: Cross multiply
    853,202x = 1,836,472 × 1,836,472
  4. Step 4: Simplify right side
    853,202x = 3,372,629,406,784
  5. Step 5: Solve for x
    x = 3,372,629,406,784/853,202
  6. Step 6: Final answer
    x = 3,952,908.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.